That defeat certainly hurts the club's chances to stay up, and defender Martin Olsson knows his squad must do better in the final week of the campaign if they are to secure another top-flight season.
Carvalhal is well aware of the importance of three points against Southampton.
West Ham inflicted a fourth Foxes loss in five Premier League matches with goals in each half from Joao Mario and Mark Noble, the Hammers captain scoring a possible goal-of-the-season contender. They are 19th in the table with 31 points and must win their final game at 11th-placed Crystal Palace to have any chance of avoiding the drop.
Carvalhal's main improvement has been an increase in attacking output from Swansea.
Credit Daily Mirror
The Swansea manager has turned things around at the Liberty Stadium since he joined in December and has been praised for the job he has done so far, however, he and his players will realise it is far from finished.
Bournemouth failed to respond and were lucky not to be trailing by more before Josh King restored parity on the stroke of half-time. The Cherries have the upper hand, whereas Swansea needs to get a win. We didn't compete enough for the second ball. It was never likely to be an easy game for the Swans with Chelsea on the scent of a top-four finish, however, they went about their task admirably.
Joao Mario's 34th-minute opener put David Moyes' side on course for their first win in five games, the Portuguese's tap-in giving the visitors a deserved half-time lead at the King Power Stadium. Howe has never backed away from his core philosophies in football but must find a way to inspire a more stubborn approach from his players if they're to improve their recent results. In their last seven games, they have conceded 11 goals and faced 111 shots.
The Swans now have two huge games against Southampton and Stoke and now, there's simply no margin for error, but that's something Carvalhal's men have brought on themselves, you feel.
Both clubs sit on 33 points with two matches remaining on the 2017-18 docket. They were defeated by Liverpool and Manchester United, and prior to that had lost just three of their previous 14 Premier League matches.
Jason Day takes control at Wells Fargo Championship
So I've got to get up every morning and do everything I possibly can to get back to that ultimate goal of getting back to No. 1. Tiger Woods and Uihlein both started their round at 2 over, and both found better fortune with the scoring conditions.